Pith Number

pith:GQHIBGUE

pith:2019:GQHIBGUE5XHIEU5M7EUPKPAUXQ

not attested not anchored not stored refs pending

$p$-adic analogues of hypergeometric identities and their applications

Chen Wang, Zhi-Wei Sun

arxiv:1910.06856 v3 · 2019-10-15 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQHIBGUE5XHIEU5M7EUPKPAUXQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher

Receipt and verification

First computed	2026-07-05T00:13:17.177088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

340e809a84edce8253acf928f53c14bc39582880efb579aa2246de4328a2d133

Aliases

arxiv: 1910.06856 · arxiv_version: 1910.06856v3 · doi: 10.48550/arxiv.1910.06856 · pith_short_12: GQHIBGUE5XHI · pith_short_16: GQHIBGUE5XHIEU5M · pith_short_8: GQHIBGUE

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GQHIBGUE5XHIEU5M7EUPKPAUXQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 340e809a84edce8253acf928f53c14bc39582880efb579aa2246de4328a2d133

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e53b222556a589984a77a3c2400121f0d80a37608fcf39aa72a29a00ae0aef8b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-10-15T15:17:30Z",
    "title_canon_sha256": "25f3f690c3a62669a05da5986a54c5a1e13c7da6307d5851390f5ebede0c7c0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.06856",
    "kind": "arxiv",
    "version": 3
  }
}